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Finding the Third Proportional to 33,764.34 and 73,251.84

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Solution

The third proportional to 33,764.34 and 73,251.84 is: 158,920.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,764.34 : 73,251.84 = 73,251.84 : x
  2. Step 2: Convert to fraction form
    33,764.34/73,251.84 = 73,251.84/x
  3. Step 3: Cross multiply
    33,764.34x = 73,251.84 × 73,251.84
  4. Step 4: Simplify right side
    33,764.34x = 5,365,832,612.77
  5. Step 5: Solve for x
    x = 5,365,832,612.77/33,764.34
  6. Step 6: Final answer
    x = 158,920.09

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.